
where the TT-SVD can be computed efficiently by the TT-rounding procedure [1]}. [ht!]

Riemannian Gauss-Newton under the embedded geometry (RGN (E))
Initial point \({\cal X}\in {\cal M}_{\mathbf {r}}\) , tolerance \(\varepsilon >0\) 
\(t = 0,1,\cdots \) 
Solving the Gauss-Newton equation (REF ) gives \(\xi _t\in T_{{\cal X}_t}{\cal M}_{\mathbf {r}}\) .
